`(sec^2 theta-1)/(sec^2 theta)- sin^2 theta=`

The value of (sec^2 theta)/(cosec^2 theta)+ (cosec^2 theta)/(sec^2 theta)-(sec^2 theta+ cosec^2 theta) is:

Prove each of the following identities : (i) (sec theta -1)/(sec theta +1) =(sin^(2) theta)/((1+ cos theta)^(2) ) (ii) (sec theta - tan theta)/(sec theta + tan theta) = (cos^(2) theta)/((1+ sintheta)^(2))

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

Prove that: (sec theta-1)/(sec theta+1)=((sin theta)/(1+cos theta))^(2)

Prove that cosec^2theta+sec^2theta=(sec^2theta)/(sin^2theta)

Prove that (1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta

Prove the following identity : cot^2 theta ((sec theta-1)/(1+sin theta))+ sec^2 theta ((sin theta-1)/(1+sec theta)) =0 .

Prove that (1 + sec theta) / sec theta = sin^2 theta /(1 - cos theta)

Prove: (1+sec theta)/(sec theta)=(sin^(2)theta)/(1-cos theta)

The value of (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) is: (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) का मान ज्ञात कीजिए?